Coverart for item
The Resource Topological Theory of Graphs, Yanpei Liu

Topological Theory of Graphs, Yanpei Liu

Label
Topological Theory of Graphs
Title
Topological Theory of Graphs
Statement of responsibility
Yanpei Liu
Creator
Contributor
Author
Other
Publisher
Subject
Language
eng
Member of
Action
Archivierung/Langzeitarchivierung gewährleistet
Cataloging source
GWDNB
http://library.link/vocab/creatorDate
1939-
http://library.link/vocab/creatorName
Liu, Yanpei
Dewey number
511.5
Index
no index present
LC call number
QA166.195
LC item number
.L58 2017eb
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • University of Science & Technology, University of Science &.
  • Walter de Gruyter GmbH & Co. KG
http://bibfra.me/vocab/relation/sonstige
1UuQ_6ZCW0g
http://library.link/vocab/subjectName
  • Topological graph theory
  • MATHEMATICS
  • Topological graph theory
  • Graphentheorie
  • Topologie
http://bibfra.me/vocab/relation/verfasser
kue5yLOg9yY
http://bibfra.me/vocab/relation/verlag
Yj9h-XQ6t8o
Label
Topological Theory of Graphs, Yanpei Liu
Instantiates
Publication
Note
Lizenzpflichtig
Carrier category
Online-Ressource
Carrier category code
  • cr
Carrier MARC source
rdacarrier/ger
Content category
Text
Content type code
  • txt
Content type MARC source
rdacontent/ger
Contents
Preface to DG Edition -- Preface to USTC Edition -- 1 Preliminaries ; 1.1 Sets and relations ; 1.2 Partitions and permutations ; 1.3 Graphs and networks ; 1.4 Groups and spaces ; 1.5 Notes -- 2 Polyhedra ; 2.1 Polygon double covers ; 2.2 Supports and skeletons ; 2.3 Orientable polyhedra ; 2.4 Non-orientable polyhedra ; 2.5 Classic polyhedra ; 2.6 Notes -- 3 Surfaces ; 3.1 Polyhegons ; 3.2 Surface closed curve axiom ; 3.3 Topological transformations ; 3.4 Complete invariants ; 3.5 Graphs on surfaces ; 3.6 Up-embeddability ; 3.7 Notes -- 4 Homology on Polyhedra ; 4.1 Double cover by travels ; 4.2 Homology ; 4.3 Cohomology ; 4.4 Bicycles ; 4.5 Notes -- 5 Polyhedra on the Sphere ; 5.1 Planar polyhedra ; 5.2 Jordan closed-curve axiom ; 5.3 Uniqueness ; 5.4 Straight-line representations ; 5.5 Convex representation ; 5.6 Notes -- 6 Automorphisms of a Polyhedron ; 6.1 Automorphisms of polyhedra ; 6.2 Eulerian and non-Eulerian codes ; 6.3 Determination of automorphisms ; 6.4 Asymmetrization ; 6.5 Notes -- 7 Gauss Crossing Sequences ; 7.1 Crossing polyhegons ; 7.2 Dehn's transformation ; 7.3 Algebraic principles ; 7.4 Gauss crossing problem ; 7.5 Notes -- 8 Cohomology on Graphs ; 8.1 Immersions ; 8.2 Realization of planarity ; 8.3 Reductions ; 8.4 Planarity auxiliary graphs ; 8.5 Basic conclusions ; 8.6 Notes -- 9 Embeddability on Surfaces ; 9.1 Joint tree model ; 9.2 Associate polyhegons ; 9.4 Criteria of embeddability ; 9.5 Notes -- 10 Embeddings on Sphere ; 10.1 Left and right determinations ; 10.2 Forbidden configurations ; 10.3 Basic order characterization ; 10.4 Number of planar embeddings ; 10.5 Notes -- 11 Orthogonality on Surfaces -- 11.1 Definitions ; 11.2 On surfaces of genus zero ; 11.3 Surface models ; 11.4 On surfaces of genus not zero ; 11.5 Notes -- 12 Net Embeddings ; 12.1 Definitions ; 12.2 Face admissibility ; 12.3 General criterion ; 12.4 Special criterion ; 12.4 Special criteria ; 12.5 Notes -- 13 Extremality on Surfaces ; 13.1 Maximal genus ; 13.2 Minimal genus ; 13.3 Shortest embedding ; 13.4 Thickness ; 13.5 Crossing number ; 13.6 Minimal bend ; 13.8 Notes -- 14 Matroidal Graphicness ; 14.1 Definitions ; 14.2 Binary matroids ; 14.3 Regularity ; 14.4 Graphicness ; 14.5 Cographicness ; 14.6 Notes -- 15 Knot Polynomials ; 15.1 Definitions ; 15.2 Knot diagram ; 15.3 Tutte polynomial ; 15.4 Pan-polynomial ; 15.5 Jones Polynomial ; 15.6 Notes -- Bibliography -- Subject Index -- Author Index
Control code
978572048
Extent
Online-Ressourcen, 369 Seiten
Form of item
online
Isbn
9783110479492
Media category
Computermedien
Media MARC source
rdamedia/ger
Media type code
  • c
Other control number
  • 9783110479492
  • urn:nbn:de:101:1-2017040528062
  • 10.1515/9783110479492
  • 9783110479225
  • urn:nbn:de:101:1-201704192965
http://library.link/vocab/ext/overdrive/overdriveId
1000764
Specific material designation
remote
System control number
(OCoLC)978572048
Label
Topological Theory of Graphs, Yanpei Liu
Publication
Note
Lizenzpflichtig
Carrier category
Online-Ressource
Carrier category code
  • cr
Carrier MARC source
rdacarrier/ger
Content category
Text
Content type code
  • txt
Content type MARC source
rdacontent/ger
Contents
Preface to DG Edition -- Preface to USTC Edition -- 1 Preliminaries ; 1.1 Sets and relations ; 1.2 Partitions and permutations ; 1.3 Graphs and networks ; 1.4 Groups and spaces ; 1.5 Notes -- 2 Polyhedra ; 2.1 Polygon double covers ; 2.2 Supports and skeletons ; 2.3 Orientable polyhedra ; 2.4 Non-orientable polyhedra ; 2.5 Classic polyhedra ; 2.6 Notes -- 3 Surfaces ; 3.1 Polyhegons ; 3.2 Surface closed curve axiom ; 3.3 Topological transformations ; 3.4 Complete invariants ; 3.5 Graphs on surfaces ; 3.6 Up-embeddability ; 3.7 Notes -- 4 Homology on Polyhedra ; 4.1 Double cover by travels ; 4.2 Homology ; 4.3 Cohomology ; 4.4 Bicycles ; 4.5 Notes -- 5 Polyhedra on the Sphere ; 5.1 Planar polyhedra ; 5.2 Jordan closed-curve axiom ; 5.3 Uniqueness ; 5.4 Straight-line representations ; 5.5 Convex representation ; 5.6 Notes -- 6 Automorphisms of a Polyhedron ; 6.1 Automorphisms of polyhedra ; 6.2 Eulerian and non-Eulerian codes ; 6.3 Determination of automorphisms ; 6.4 Asymmetrization ; 6.5 Notes -- 7 Gauss Crossing Sequences ; 7.1 Crossing polyhegons ; 7.2 Dehn's transformation ; 7.3 Algebraic principles ; 7.4 Gauss crossing problem ; 7.5 Notes -- 8 Cohomology on Graphs ; 8.1 Immersions ; 8.2 Realization of planarity ; 8.3 Reductions ; 8.4 Planarity auxiliary graphs ; 8.5 Basic conclusions ; 8.6 Notes -- 9 Embeddability on Surfaces ; 9.1 Joint tree model ; 9.2 Associate polyhegons ; 9.4 Criteria of embeddability ; 9.5 Notes -- 10 Embeddings on Sphere ; 10.1 Left and right determinations ; 10.2 Forbidden configurations ; 10.3 Basic order characterization ; 10.4 Number of planar embeddings ; 10.5 Notes -- 11 Orthogonality on Surfaces -- 11.1 Definitions ; 11.2 On surfaces of genus zero ; 11.3 Surface models ; 11.4 On surfaces of genus not zero ; 11.5 Notes -- 12 Net Embeddings ; 12.1 Definitions ; 12.2 Face admissibility ; 12.3 General criterion ; 12.4 Special criterion ; 12.4 Special criteria ; 12.5 Notes -- 13 Extremality on Surfaces ; 13.1 Maximal genus ; 13.2 Minimal genus ; 13.3 Shortest embedding ; 13.4 Thickness ; 13.5 Crossing number ; 13.6 Minimal bend ; 13.8 Notes -- 14 Matroidal Graphicness ; 14.1 Definitions ; 14.2 Binary matroids ; 14.3 Regularity ; 14.4 Graphicness ; 14.5 Cographicness ; 14.6 Notes -- 15 Knot Polynomials ; 15.1 Definitions ; 15.2 Knot diagram ; 15.3 Tutte polynomial ; 15.4 Pan-polynomial ; 15.5 Jones Polynomial ; 15.6 Notes -- Bibliography -- Subject Index -- Author Index
Control code
978572048
Extent
Online-Ressourcen, 369 Seiten
Form of item
online
Isbn
9783110479492
Media category
Computermedien
Media MARC source
rdamedia/ger
Media type code
  • c
Other control number
  • 9783110479492
  • urn:nbn:de:101:1-2017040528062
  • 10.1515/9783110479492
  • 9783110479225
  • urn:nbn:de:101:1-201704192965
http://library.link/vocab/ext/overdrive/overdriveId
1000764
Specific material designation
remote
System control number
(OCoLC)978572048

Library Locations

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      1 University Blvd, St. Louis, MO, 63121, US
      38.710138 -90.311107
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